[tex]\huge{\bf{{\underline{\colorbox{red} {\color{black} {Answer}}}}}}[/tex]
Okay, let's solve this step-by-step:
1. We are given the equation $\textcolor{blue}{2x - 3y = 8}$ and $\textcolor{red}{x = -2}$.
2. Substituting $\textcolor{red}{x = -2}$ into the equation, we get:
$\textcolor{blue}{2(-2) - 3y = 8}$
3. $\xrightarrow[]{}$ Simplifying the left-hand side, we get:
$\textcolor{blue}{-4 - 3y = 8}$
4. $\xrightarrow[]{}$ Rearranging the equation to solve for $\textcolor{blue}{y}$, we get:
$\textcolor{blue}{-3y = 8 + 4}$
$\textcolor{blue}{-3y = 12}$
$\textcolor{blue}{y = -4}$
Therefore, the value of $\textcolor{blue}{y}$ is $\textcolor{blue}{-4}$.